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Finding the Fourth Proportional to 12,384.24, 18,566.64 and 6,458.48

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Solution

The fourth proportional to 12,384.24, 18,566.64 and 6,458.48 is: 9,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.24 : 18,566.64 = 6,458.48 : x
  2. Step 2: Convert to fraction form
    12,384.24/18,566.64 = 6,458.48/x
  3. Step 3: Cross multiply
    12,384.24x = 18,566.64 × 6,458.48
  4. Step 4: Simplify right side
    12,384.24x = 119,912,273.11
  5. Step 5: Solve for x
    x = 119,912,273.11/12,384.24
  6. Step 6: Final answer
    x = 9,682.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.